Search a number
-
+
22816108177641 = 3215922072
BaseRepresentation
bin1010011000000010010100…
…00001011110100011101001
32222210012100210211022020100
411030001022001132203221
510442304342143141031
6120305324141420013
74543260300414012
oct514011201364351
988705323738210
1022816108177641
1172a7291284919
122685ab856a609
13c9671bac571c
1458c43c524009
152987753b8de6
hex14c04a05e8e9

22816108177641 has 9 divisors (see below), whose sum is σ = 32956621399741. Its totient is φ = 15210729231852.

The previous prime is 22816108177627. The next prime is 22816108177741. The reversal of 22816108177641 is 14677180161822.

It is a happy number.

The square root of 22816108177641 is 4776621.

It is a perfect power (a square), and thus also a powerful number.

22816108177641 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 610 + 8 + 17 + 7 + 6 + 4 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 22816108177641 - 29 = 22816108177129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22816108177741) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13533760 + ... + 15125966.

Almost surely, 222816108177641 is an apocalyptic number.

22816108177641 is the 4776621-st square number.

22816108177641 is the 2388311-st centered octagonal number.

It is an amenable number.

22816108177641 is a deficient number, since it is larger than the sum of its proper divisors (10140513222100).

22816108177641 is an frugal number, since it uses more digits than its factorization.

22816108177641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3184420 (or 1592210 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 22816108177641 in words is "twenty-two trillion, eight hundred sixteen billion, one hundred eight million, one hundred seventy-seven thousand, six hundred forty-one".

Divisors: 1 3 9 1592207 4776621 14329863 2535123130849 7605369392547 22816108177641